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34220503352 = 2374713794903
BaseRepresentation
bin11111110111101100…
…110111000100111000
310021022212220200120002
4133313230313010320
51030040422101402
623415400052132
72321005323230
oct376754670470
9107285820502
1034220503352
1113570644732
126770464048
1332c489c369
141928b9acc0
15d54408602
hex7f7b37138

34220503352 has 64 divisors (see below), whose sum is σ = 75437291520. Its totient is φ = 14248965888.

The previous prime is 34220503321. The next prime is 34220503357. The reversal of 34220503352 is 25330502243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34220503357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313133 + ... + 408035.

It is an arithmetic number, because the mean of its divisors is an integer number (1178707680).

Almost surely, 234220503352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34220503352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37718645760).

34220503352 is an abundant number, since it is smaller than the sum of its proper divisors (41216788168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34220503352 is a wasteful number, since it uses less digits than its factorization.

34220503352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95100 (or 95096 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

The spelling of 34220503352 in words is "thirty-four billion, two hundred twenty million, five hundred three thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 47 56 94 137 188 274 329 376 548 658 959 1096 1316 1918 2632 3836 6439 7672 12878 25756 45073 51512 90146 94903 180292 189806 360584 379612 664321 759224 1328642 2657284 4460441 5314568 8920882 13001711 17841764 26003422 31223087 35683528 52006844 62446174 91011977 104013688 124892348 182023954 249784696 364047908 611080417 728095816 1222160834 2444321668 4277562919 4888643336 8555125838 17110251676 34220503352